687331008017 has 2 divisors, whose sum is σ = 687331008018. Its totient is φ = 687331008016.

The previous prime is 687331007939. The next prime is 687331008029. The reversal of 687331008017 is 710800133786.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 569588693521 + 117742314496 = 754711^2 + 343136^2 .

It is a cyclic number.

It is not a de Polignac number, because 687331008017 - 2¹² = 687331003921 is a prime.

It is not a weakly prime, because it can be changed into another prime (687331008037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 343665504008 + 343665504009.

It is an arithmetic number, because the mean of its divisors is an integer number (343665504009).

Almost surely, 2^687331008017 is an apocalyptic number.

It is an amenable number.

687331008017 is a deficient number, since it is larger than the sum of its proper divisors (1).

687331008017 is an equidigital number, since it uses as much as digits as its factorization.

687331008017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 44.

The spelling of 687331008017 in words is "six hundred eighty-seven billion, three hundred thirty-one million, eight thousand, seventeen".